1. On the Moore–Penrose inverse of a sum of matrices.
- Author
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Maria Baksalary, Oskar, Sivakumar, K.C., and Trenkler, Götz
- Subjects
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MATRIX inversion , *NEUROSCIENCES , *DISCRIMINANT analysis , *MATRIX decomposition , *ELECTRIC circuits , *SCHRODINGER equation - Abstract
The paper considers various problems concerned with the Moore–Penrose inverse of a sum of two matrices. By establishing several original results and by combining various facts known in the literature, the article reveals a number of emerging features of the inverse. The investigations shed also a spotlight on different proving approaches useful to cope with the problems in question. Rather than focusing exclusively on the main topic, the considerations endeavour to place it in a wider context, linking it with different matrix notions, facts, and tools, as well as indicating areas of its applications originating from, e.g. computational methods, physics, statistics, discriminant analysis, or neuroscience. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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